On the high-density expansion for Euclidean random matrices
- Autores
- Grigera, Tomas Sebastian; Martín Mayor, V.; Parisi, G.; Urbani, P.; Verrocchio, P.
- Año de publicación
- 2011
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Diagrammatic techniques to compute perturbatively the spectral properties of Euclidean random matrices (ERM) in the high-density regime are introduced and discussed in detail. Such techniques are developed in two alternative and very different formulations of the mathematical problem and are shown to give identical results up to second order in the perturbative expansion. One method, based on writing the so-called resolvent function as a Taylor series,allows us to group the diagrams into a small number of topological classes, providing a simple way to determine the infrared (small momenta) behaviour of the theory up to third order, which is of interest for the comparison with experiments. The other method, which reformulates the problem as a field theory, can instead be used to study the infrared behaviour at any perturbative order.
Fil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Fil: Martín Mayor, V.. Universidad Complutense de Madrid; España
Fil: Parisi, G.. Università degli Studi di Roma "La Sapienza"; Italia
Fil: Urbani, P.. Università degli Studi di Roma "La Sapienza"; Italia
Fil: Verrocchio, P.. Universita degli Studi di Trento; Italia - Materia
-
EUCLIDEAN RANDOM MATRICES
HIGH-DENSITY EXPANSION - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/271469
Ver los metadatos del registro completo
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On the high-density expansion for Euclidean random matricesGrigera, Tomas SebastianMartín Mayor, V.Parisi, G.Urbani, P.Verrocchio, P.EUCLIDEAN RANDOM MATRICESHIGH-DENSITY EXPANSIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Diagrammatic techniques to compute perturbatively the spectral properties of Euclidean random matrices (ERM) in the high-density regime are introduced and discussed in detail. Such techniques are developed in two alternative and very different formulations of the mathematical problem and are shown to give identical results up to second order in the perturbative expansion. One method, based on writing the so-called resolvent function as a Taylor series,allows us to group the diagrams into a small number of topological classes, providing a simple way to determine the infrared (small momenta) behaviour of the theory up to third order, which is of interest for the comparison with experiments. The other method, which reformulates the problem as a field theory, can instead be used to study the infrared behaviour at any perturbative order.Fil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; ArgentinaFil: Martín Mayor, V.. Universidad Complutense de Madrid; EspañaFil: Parisi, G.. Università degli Studi di Roma "La Sapienza"; ItaliaFil: Urbani, P.. Università degli Studi di Roma "La Sapienza"; ItaliaFil: Verrocchio, P.. Universita degli Studi di Trento; ItaliaIOP Publishing2011-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/271469Grigera, Tomas Sebastian; Martín Mayor, V.; Parisi, G.; Urbani, P.; Verrocchio, P.; On the high-density expansion for Euclidean random matrices; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2011; 2-2011; 1-381742-5468CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://stacks.iop.org/1742-5468/2011/i=02/a=P02015info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2011/02/P02015info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:33:16Zoai:ri.conicet.gov.ar:11336/271469instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:33:17.218CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
On the high-density expansion for Euclidean random matrices |
title |
On the high-density expansion for Euclidean random matrices |
spellingShingle |
On the high-density expansion for Euclidean random matrices Grigera, Tomas Sebastian EUCLIDEAN RANDOM MATRICES HIGH-DENSITY EXPANSION |
title_short |
On the high-density expansion for Euclidean random matrices |
title_full |
On the high-density expansion for Euclidean random matrices |
title_fullStr |
On the high-density expansion for Euclidean random matrices |
title_full_unstemmed |
On the high-density expansion for Euclidean random matrices |
title_sort |
On the high-density expansion for Euclidean random matrices |
dc.creator.none.fl_str_mv |
Grigera, Tomas Sebastian Martín Mayor, V. Parisi, G. Urbani, P. Verrocchio, P. |
author |
Grigera, Tomas Sebastian |
author_facet |
Grigera, Tomas Sebastian Martín Mayor, V. Parisi, G. Urbani, P. Verrocchio, P. |
author_role |
author |
author2 |
Martín Mayor, V. Parisi, G. Urbani, P. Verrocchio, P. |
author2_role |
author author author author |
dc.subject.none.fl_str_mv |
EUCLIDEAN RANDOM MATRICES HIGH-DENSITY EXPANSION |
topic |
EUCLIDEAN RANDOM MATRICES HIGH-DENSITY EXPANSION |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
Diagrammatic techniques to compute perturbatively the spectral properties of Euclidean random matrices (ERM) in the high-density regime are introduced and discussed in detail. Such techniques are developed in two alternative and very different formulations of the mathematical problem and are shown to give identical results up to second order in the perturbative expansion. One method, based on writing the so-called resolvent function as a Taylor series,allows us to group the diagrams into a small number of topological classes, providing a simple way to determine the infrared (small momenta) behaviour of the theory up to third order, which is of interest for the comparison with experiments. The other method, which reformulates the problem as a field theory, can instead be used to study the infrared behaviour at any perturbative order. Fil: Grigera, Tomas Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina Fil: Martín Mayor, V.. Universidad Complutense de Madrid; España Fil: Parisi, G.. Università degli Studi di Roma "La Sapienza"; Italia Fil: Urbani, P.. Università degli Studi di Roma "La Sapienza"; Italia Fil: Verrocchio, P.. Universita degli Studi di Trento; Italia |
description |
Diagrammatic techniques to compute perturbatively the spectral properties of Euclidean random matrices (ERM) in the high-density regime are introduced and discussed in detail. Such techniques are developed in two alternative and very different formulations of the mathematical problem and are shown to give identical results up to second order in the perturbative expansion. One method, based on writing the so-called resolvent function as a Taylor series,allows us to group the diagrams into a small number of topological classes, providing a simple way to determine the infrared (small momenta) behaviour of the theory up to third order, which is of interest for the comparison with experiments. The other method, which reformulates the problem as a field theory, can instead be used to study the infrared behaviour at any perturbative order. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-02 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/271469 Grigera, Tomas Sebastian; Martín Mayor, V.; Parisi, G.; Urbani, P.; Verrocchio, P.; On the high-density expansion for Euclidean random matrices; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2011; 2-2011; 1-38 1742-5468 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/271469 |
identifier_str_mv |
Grigera, Tomas Sebastian; Martín Mayor, V.; Parisi, G.; Urbani, P.; Verrocchio, P.; On the high-density expansion for Euclidean random matrices; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2011; 2-2011; 1-38 1742-5468 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/http://stacks.iop.org/1742-5468/2011/i=02/a=P02015 info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2011/02/P02015 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
IOP Publishing |
publisher.none.fl_str_mv |
IOP Publishing |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.070432 |